(3 + zi) (3 + 4i) - (3 + zi) (3 - 2i)
Express in simplest a+bi form

Answers

Answer 1

Answer:

Step-by-step explanation:

9+12i+3zi+4zi²-(9-6i+3zi-2zi²)

= 9+12i+3zi+4zi²-9+6i-3zi+2zi²

= 18i+6zi²

= i(18+6zi) or 6i(3+zi)

i hope this is the anwer you're looking for


Related Questions

6(x – 1) = 9(x + 2)
Solve

Answers

Answer:

x=−8

Step-by-step explanation:

6(x−1)=9(x+2)

Step 1: Simplify both sides of the equation.

6(x−1)=9(x+2)

(6)(x)+(6)(−1)=(9)(x)+(9)(2)(Distribute)

6x+−6=9x+18

6x−6=9x+18

Step 2: Subtract 9x from both sides.

6x−6−9x=9x+18−9x

−3x−6=18

Step 3: Add 6 to both sides.

−3x−6+6=18+6

−3x=24

Step 4: Divide both sides by -3.

−3x/−3=24/−3

What do you need if you have to write the equation of a parabola?

Answers

This straight line outside the parabola is called the directrix. For parabolas that open either up or down, the standard form equation is (x - h)^2 = 4p(y - k). For parabolas that open sideways, the standard form equation is (y - k)^2 = 4p(x - h). The vertex or tip of our parabola is given by the point (h, k).

Can someone tell me the answer please. Identify the vocabulary word that matches the picture. ​

Answers

I agree with the person above a Cartesian plane

how many miles can the car ride drive on 11 gallons of fuel

Answers

Answer:

220

Step-by-step explanation:

There are about 20 miles worth of gas per gallon so 20 x 11 = 220

Which one of the following words is a pronoun A) Two B) Him C) Boys D) Go

Answers

Answer:

I believe it is Him.

Step-by-step explanation:

Answer:

B) Him

Step-by-step explanation:

Him refers to someone else, and that is exactly what a pronoun does!

you are a contractor installing a brick sidewalk. The portion of the sidewalk will occupancy and area of 100 feet long by 4 feet wide. Each brick will occupy and area 8 inches long by 4 inches wide what is the minimyn nuber of bricks will you need to occupy this area

Answers

Answer:

1800 bricks

Step-by-step explanation:

Given

Sidewalk = 100ft by 4ft

Brick = 8 inches by 4 inches

Required

Determine the minimum number of bricks

First, we need to determine the area of both;

[tex]Sidewalk = 100ft * 4ft[/tex]

[tex]Sidewalk = 400ft^2[/tex]

[tex]Brick = 8in * 4in[/tex]

[tex]Brick = 32in^2[/tex]

Number of bricks is calculated as follows;

[tex]Number = \frac{Sidewalk}{Brick}[/tex]

[tex]Number = \frac{400ft^2}{32in^2}[/tex]

Convert ft^2 to in^2

[tex]Number = \frac{400 * 144in^2}{32in^2}[/tex]

[tex]Number = \frac{57600in^2}{32in^2}[/tex]

[tex]Number = 1800[/tex]

Kelly inherits land which had a basis to the decedent of $95,000 and a fair market value of $50,000 on August 4, 2018, the date of the decedent’s death. The executor distributes the land to Kelly on November 12, 2018, at which time the fair market value is $49,000. The fair market value on February 4, 2019, is $45,000. In filing the estate tax return, the executor elects the alternate valuation date. Kelly sells the land on June 10, 2019, for $48,000. What is herrecognized gain or loss? ($1,000) ($2,000) ($47,000) $1,000 None of the above

Answers

Answer:

The correct option is;

Her recognized loss is ($1,000)

Step-by-step explanation:

The given information are;

The basis of the land to the decedent = $95,000

The land's market value on 4th of August 2018 when the decedent died  = $50,000

The alternate valuation date = 6 months + The date of death of the decedent = 4th February, 2019

The value filed by the executor on the tax return using the alternate valuation date = The market value of the estate on 4th of February 2019

The market value of the land on 4th of February 2019 = $45,000

∴ The value filed by the executor on the tax return using the alternate valuation date = $45,000

The value of the land on November 12, 2018 when the executor distributed the land to Kelly = $49,000

The value at which Kelly sells the land on June 10, 2019 = $48,000

Given that, recognized gain is the profit made from selling an asset based on the value of the asset when it was obtained, we have;

Kelly's recognized gain or loss = (The value at which Kelly sells the land) - (The value of the land when the executor distributed the land to Kelly)

Kelly's recognized gain or loss = $48,000 - $49,000 = -$1,000 = ($1,000)

Therefore, Kelly's recognized loss = ($1,000).

Aiden is replacing the tile in a rectangular kitchen. The length of the kitchen is nine feet shorter than three times its width, w. The perimeter of the kitchen is six times the width. If tiles cost $1.69 a square foot, what is the total costs to tile the kitchen?

Answers

Answer:

Total Cost of tile =  $273.28

Step-by-step explanation:

From the given information:

Let the width be = x

Then, the length of the rectangular kitchen is L = 3x - 9

The perimeter is = 6x

Suppose the cost of the tile = $1.69 a square foot.

Then the total costs to tile the kitchen is calculated as follows:

The Perimeter of the rectangle =  2(L + b)

The Perimeter of the rectangle =  2(3x - 9 + x)

The Perimeter of the rectangle =  2(4x-9)

6x = 8x - 18

- 2x = - 18

x = 18/2

x = 9

Thus, the width = x = 9 ft

the length = 3x - 9 = 3(9) - 9

the length = 27 - 9

the length = 18 ft

Area = L × W

Area = (18 × 9)ft  

Area =   162 sq. ft.

Cost of a Tile = $1.69 per sq. ft.

Thus;

Total Cost of tile = $1.69 × 162

Total Cost of tile =  $273.28

Answer:

$273.78

Step-by-step explanation:

the other guy is wrong my dude

It takes Aaron 5 minutes to squeeze the juice from 3 grapefruits. At this rate, how many minutes will it take him to squeeze the juice from 12 grapefruits?

Answers

20 minutes because 12/3=4 and 4x5=20

Complete the sentence about the relation. There is x and y columns. The x column contains two, eight, thirty, and forty six values. The y column contains minus one, nine, and sixteen values. The first arrow starting from value two of column x and ended at the value minus one in column y. The second arrow started from value eight of column x and ended at sixteen in column y. The third arrow starting from value thirty of column x and ended at value nine in column y. The forth arrow starting from point forty six and ended at value sixteen in column y. The domain of the relation is Choose... and the range is Choose... .

Answers

Answer:

Domain is [tex]\{2,8,30,46\}[/tex]

Range is [tex]\{-1,9,16\}[/tex]

Step-by-step explanation:

The relation refers to the collection of ordered pairs, which contains an element from one set to another set.

Domain of a relation [tex]y=f(x)[/tex] is all the values [tex]x[/tex] that go into a function, and the range is a set of all the values [tex]f(x)[/tex] that are obtained for the given domain.

The given relation is [tex]\{(2,-1),(8,16),(30,9),(46,16)\}[/tex]

Here, domain is [tex]\{2,8,30,46\}[/tex]

Range is [tex]\{-1,9,16\}[/tex]

are lines a and b parallel? and could you explain?

Answers

They are parallel because the lines would never intersect or touch each other
I mean they look straight so yeah man

H e l p? I don't get this​

Answers

Answer:

2/3 - 1/6  is 3/6

Step-by-step explanation:

why

bc like this

make 2/3 to 4/6

4/6 -1/6 = 3/6

3/6 is half

ez peasy dude

please mark me brainliest because u get auto help by me if u do it

please mark me brainliest because u get auto help by me if u do it

please mark me brainliest because u get auto help by me if u do it

please mark me brainliest because u get auto help by me if u do it

please mark me brainliest because u get auto help by me if u do it

please mark me brainliest because u get auto help by me if u do it

please mark me brainliest because u get auto help by me if u do it

please mark me brainliest because u get auto help by me if u do itplease mark me brainliest because u get auto help by me if u do it

please mark me brainliest because u get auto help by me if u do it

please mark me brainliest because u get auto help by me if u do itplease mark me brainliest because u get auto help by me if u do it

Claim 1: A dilation of scale factor 13 with the origin as the center of dilation takes line p to itself.

Answers

Answer: I don't really get what you're asking but if you're asking what a scale factor is you multiply each point by that number say point A was -3, 2  you'd do: -3 x 13 and 2 x 13

Step-by-step explanation:

f(x)=-4x+2 find f(x) when x=1

Answers

Answer:

6

Step-by-step explanation:

plug in 1 for where it says x and you would get 6

Pls halp,due today thank uu

Answers

2/3 ,y intercept= (0,-2) , y=-2

Find the average rate of change over the interval [-4, -1] *
f(x) = x^2?

Answers

Answer:

ijbibhibhhhvhj

Step-by-step explanation:

What is the Y-intercept and The slope of the equation?
2x+7y=14

Can someone please help me with this!!!

Slope choice:
A. 2/7
B. 7/2
C. -2/7
D. -9

Y-intercept choices
A. 2
B. 7
C. -2
D. 0

Answers

Answer:

Slope = -2/7; Y intercept = +2

Step-by-step explanation:

First, for this particular question - we want to convert the equation to slope intercept form! You may recognize it already, it looks like this:

y = mx + b

Here's how:

[tex]2x+7y=14\\2x+7y - 2x = -2x+14\\7y=-2x+14\\\frac{7y}{7} =\frac{-2x+14}{7} \\y = \frac{-2}{7}x+2[/tex]

The above shows this equation in slope intercept form: y = -2/7x + 2.

The slope of this line is -2/7 while the y intercept is 2!

*Note*: In the slope-intercept formula, m stands for the slope, and the b is the intercept!

Hope I was of assistance! Algebra can be a little difficult but you'll get it! Have a nice day and spread the love! <3

Drag a description to match each equation.

Pleaseee I am desperate!

Answers

Answer:

y is 4 times x

y is 4 more than x

Step-by-step explanation:

sorry if im wrong

Solve the system of linear equations by graphing.
y=-x+4.
y= 2x – 8

Answers

Step-by-step explanation:

suppose,x=1,2 .so y=1+4=5,2+4=6...eq..(I)

and y=2×1-8=-6,y=2*×2-8=-4

now plot in graph where they intercept with each other i.e x and y

I could plot but it's difficult here..and remember u can suppose any point as x for y

After solving the equations for x and y the value of x is 4 and the value of y is 0.

What is an equation?

Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the given equations in the question,

y = -x + 4   (i)

y = 2x - 8   (ii)

Solve the equation for x and then solve it for y as well,

-x + 4 = 2x - 8

-x -2x = -8 -4

-3x = -12

x = 4

Substitute this in equation (i)

y = -4 + 4

y = 0

Therefore, the points are (4, 0)

To know more about equations:

https://brainly.com/question/10413253

#SPJ5

Two integers have a difference of 18 and a sum of 2. What is the product of the two integers?

Answers

Answer:

the product of the two integers is -80

Answer:

-80

Explanation:

it was on a mathcounts competition

Select the smallest fraction from the following list of fractions.
3/4
2 2/3
3/5
1 1/2
7/8
2/3

Answers

Answer: 3/5

I’m not sure if you need an explanation
The answer is 3/5 your welcome

(x2 – 2x – 2)(3x2 - 4x +4)

Answers

Answer:

10-4x

Step-by-step explanation:

The answer to the equation is 10-4x

Drag numbers to complete the table for missing values of x, x2, and x3.

Answers

Answer:

Values are:

x x²

10 100

5

What Eva the person on top said is rightly

(x^2-3x+1)(x^2+2x-1) PLEASE SHOW STEP BY STEP ON HOW YOU GOT THE ANSWER

Answers

Answer:

first multiply

2x-3x+1+2x+2x-1

add all like terms

3x+1-1

final answer is 3x

Step-by-step explanation:

Answer:

=x4−x3−6x2+5x−1

Step-by-step explanation:

(x2−3x+1)(x2+2x−1)

=(x2+−3x+1)(x2+2x+−1)

=(x2)(x2)+(x2)(2x)+(x2)(−1)+(−3x)(x2)+(−3x)(2x)+(−3x)(−1)+(1)(x2)+(1)(2x)+(1)(−1)

=x4+2x3−x2−3x3−6x2+3x+x2+2x−1

=x4−x3−6x2+5x−1

A straight angle measures (5x - 50) degrees. What is the value of x?

Answers

Answer:

26

Step-by-step explanation:

180-50=130

130/5=26

I believe.

WILL GIVE BRAINLST FOR WHOEVER ANSWERS FIRST Which of the following equations is equivalent to 6(3p – 2) = 20?
Group of answer choices


9p – 4 = 20


9p – 8 = 20


18p – 12 = 20


18p – 2 = 20

Answers

It would be the 3rd option, because you multiply 6 and 3 and get 18, and then multiply 6 and 2 and get 12 so it would be 18p-12=20

Find the equation of the line

Y= __x +__

Answers

Answer
Y=X-5
Going up by 1
And on y axis at -5

Answer:

y = 1x - 5

m = 1, b = -5

Step-by-step explanation:

This equation that we are solving form is known as slope intercept form: y = mx + b.

Given a graph that intersects the x axis at -5, rises one y every one run of x, the slope must be one as the point where (0,-5) → (1,-4) → (2,-3) → (3,-2)..... you can see that y, and x change by positive one every time, so this is the reasoning. A linear equation is always straight so it's slope is always the same, so you can just pick two points and find the difference in x, and y values to get the slope. Think about it like this, you start with negative five and go up one each x. Therefore, your equation is y = x - 5. As a coefficient of 1 or slope of 1 will leave x by itself since multiplying anything by 1 is itself.

Simplify the expression using the variable replacements.
2a² – 4bifa= 2andb = 1

Answers

Answer:

= 4

Step-by-step explanation:

2a^2-4b

=2(2)^2-4(1)

=2×4-4

= 8-4

=4

Amber is making a scale drawing of a movie screen. The actual dimisions of a screen in her local theater are 60 ft wide and 20 ft tall. In her scale drawing, the screen has a width of 9 in. What will the height of the screen on her drawing be? a 2 inches b 6 inches c 3 inches d 10 inches

Answers

Answer:

c 3 inches

Step-by-step explanation:

Given the dimension in feet

Width = 60 ft

Height = 20 ft

Given the dimension in inches

Width = 9in

Height = ?

To get the height in inches, we will use the equality postulate:

60 ft = 9in

20ft = x

Cross multiply

60x = 9*20

60x =180

x = 180/60

x = 3in

Hence the height of the screen will be 3inches

En el rombo la diagonal mayor es la mediatriz de la diagonal menor, ¿verdadero o falso?

Answers

Answer:

Creo que eso es cierto también grandes habilidades españolas

Step-by-step explanation:

Other Questions
The modern synthesis combined the concepts of _______ and evolution. Numbers with zerosA cleaning service orders 7 large bottles and 5 small bottles of a cleaning product.Each large bottle has 122 ounces. Each small bottle has 68 ounces.Which is the best estimate of the total amount of cleaning product the cleaning service orders?A 800 ounceswB. 1.200 ouncesC. 1,600 ouncesoD. 2.000 ounces Below is the Retained Earnings account for the year 2020 for Swifty Corp. Retained earnings, January 1, 2020 $261,300 Add:_______. Gain on sale of investments (net of tax) $44,900 Net income 88,200 Refund on litigation with government, related to the year 2017 (net of tax) 25,300 Recognition of income earned in 2019, but omitted from income statement in that year (net of tax) 29,100 187,500 448,800 Deduct: Loss on discontinued operations (net of tax) 38,700 Write-off of goodwill (net of tax) 63,700 Cumulative effect on income of prior years in changing from LIFO to FIFO inventory valuation in 2020 (net of tax) 26,900 Cash dividends declared 35,700 165,000 Retained earnings, December 31, 2020 $283,800Prepare a corrected retained earnings statement. Waterway Corp. normally sells investments of the type mentioned above. FIFO inventory was used in 2020 to compute net income. (List items that increase adjusted retained earnings first.) Ecclesiastes 3:3-83 For everything there is a season, and a time for every [a]purpose under heaven: 2 a time to be born, and a time to die; a time to plant, and a time to pluck up that which is planted; 3 a time to kill, and a time to heal; a time to break down, and a time to build up; 4 a time to weep, and a time to laugh; a time to mourn, and a time to dance; 5 a time to cast away stones, and a time to gather stones together; a time to embrace, and a time to refrain from embracing; 6 a time to seek, and a time to lose; a time to keep, and a time to cast away; 7 a time to rend, and a time to sew; a time to keep silence, and a time to speak; 8 a time to love, and a time to hate; a time for war, and a time for peace.Q: In the passage from Ecclesiastes, what do you think the phrase a time to cast away stones means? What does gather stones together mean? What modern figures of speech would you use to express these ideas?PLZZZZZZ HELP. What kind of transformation is illustrated between the triangle XYZ and XYZ?2. translationO rotationO reflectionO translation Which of the following was a military advantage that the Americans enjoyed over the British during the Revolutionary War?OA. A single top commander served throughout the entire conflict.OB. Public support for the cause was strong throughout the war.OC. Reliable pay ensured that troop morale was always high.OD. A single manufacturer produced all of the weapons used. What did the Sons of Liberty use to alert the arrival of the British Army? * What is the quotient?(-3)(-3)2Og9O 9 Which of the following is an example of how pictures of a planet's surface can provide evidence about the planet's natural resources? The sum of the 8th & 4th of an Ap is 24 and sum of and sum of 6th & 10th term is 44 Find the Ap The amount Troy charges to mow a lawn is proportional to the time it takes him to mow the lawn. Troy charges $30 to mow a lawn that took him 1.5 hours to mow.Which equation models the amount in dollars, d, Troy charges when it takes him h hours to mow a lawn?A) d = 20hB) h = 20dC) d = 45hD) h = 45d To be labeled deviant, one must a. be detected committing a deviant act. c. both a and b b. be stigmatized by society. d. neither a nor b 12x+8y=240 How do I solve for y ? How did society orginate What was placed in the church to allow men to know where the Britishwere attacking from? i need help please. its for math What does a dissolved salt look like? Chandler wants to start saving money for vacation. She currently has $300 in her bank account and plan to save $100 more each month until she reaches her goal of $1500. How long will chandler have to save until she can afford her vacation.(write equation in y=mx+b) How many elements are in calcium dihydrogren phosphate At a basketball game, a vender sold a combined total of 222 sodas and hot dogs. The number of sodas sold was 58 more than the number of hot dogs sold. Find the number of sodas sold and the number of hot dogs sold.